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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability Exercise Multiple Choice Questions Question 45 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability  Exercise Multiple Choice Questions  Question 45 Maths Textbook Solution.

Answers (1)

Answer:(b)

Hint: You must know the rules of finding probability.

Given: Bag – (5 red, 3 blue balls)

3 balls are drawn at random without replacement

Solution: Red balls = 5=P\left ( R \right )

Blue balls = 3=P\left ( B\right )

P (getting exactly one red ball)=P(R / B \cap R)+P(B / R \cap B)+P(B / B \cap R)

=P(R) \times P\left(\frac{B}{R}\right) \times P\left(\frac{B}{R \cap B}\right)+P(B) \times P\left(\frac{R}{B}\right) \times P\left(\frac{B}{B \cap R}\right)+P(B) \times P\left(\frac{B}{B}\right) \times P\left(\frac{R}{B \cap B}\right)

\begin{aligned} &=\left(\frac{5}{8} \times \frac{3}{7} \times \frac{2}{6}\right)+\left(\frac{3}{8} \times \frac{5}{7} \times \frac{2}{6}\right)+\left(\frac{3}{8} \times \frac{2}{7} \times \frac{5}{6}\right) \\ &=\frac{5}{56}+\frac{5}{56}+\frac{5}{56} \\ &=\frac{15}{56} \end{aligned}

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